hi Quixotic,
Thanks for your reply. Yes the Aus-Tides 2024 app current predictions for 4/11/2024 do show the steep speed changes into and out of slack water - no "flat spot", (sketch #3) style profile in sight!
I think that nearly all entrances have a similar behaviour but it is most important at PPH because the rate of change in speed is a lot higher than for most other places. I think it is because we can't "eyeball estimate" low current speeds at all well, that many folk (me included) think that at times it
feels like a sketch #3 scenario, even though the science, instruments, (and safety) say otherwise.
I see that because Aus-Tides does not let you look at an "equal levels" time, you have tried instead to look at the inertia delay between "max outside" and "max current", both of which Aus-Tides can supply. While this can be attempted, there are several traps:
a) We really need the "max drive" time which isn't the same as "max outside". The "drive force" is the level difference (outside height - inside height). Now when the outside hits max height (and is briefly not changing), the flood current is screaming into the Bay with the inside level rising fast. So the height difference (or drive force) is already shrinking at that time.
The real point of "max drive" is a time somewhat before outside max, where the outside tide's rate of rise has slowed enough to exactly match the inside tide's rate of rise. My tide curves say that for your examples this occurs before the Lorne Hi/Lo times by 24, 24, 12, & 30 minutes respectively.
b) At max flood or ebb flow much of the flow resistance is concentrated around the Heads and is also very sensitive to tide height wrt MSL as this determines how much the large fringing reefs are exposed, or how deep they are submerged. Also the current curves don't have nice sinusoidal tops & bottoms so picking off peak flood or ebb times is more error prone.
In the gentler middle two cases in your table, my system gave inertial delays of 42 & 48 mins between "max drive" and "max rate". However in the outer two higher speed cases the current waveforms get quite distorted and I see delays of only a few minutes. Not sure how to interpret that. Note that when approaching slack water of either type, the submerged depths of reefs between the headlands are similar and not highly variable as in both of the max flow cases.
One more comment before moving on is that for places like Lorne sitting directly on the coast we might use the terms "in" and "up" interchangeably for tides. However near PPH, and many other places, the language needs to be a bit more precise because all four combinations: "in & up", "in & down", "out & down", and "out & up" can occur when talking about streams & heights.
I have appended my DIY modelling results (in blue) to your 4th November table. Included is the extra info on "Equal Levels" (time & speed) and also the "Overshoot" (time to slack & reverse level difference at slack).

The red lines show which columns can be compared (I didn't organise the layout very well). Aus-Tides max current speeds are for the channel centreline which due to a strong "ebb jet" effect are somewhat stronger than my numbers derived from volume outflow rate rather than centreline speed.
The agreement isn't bad and I suspect the truth might be somewhere in between. In reality the difference is not important in view of weather uncertainties. ( Graeme I'm still working on a reply - I have a plot
somewhere? of the June 2014 "big daddy" storm which shows the strong weather effects possible. )
Jake